77742201202644 has 96 divisors (see below), whose sum is σ = 200426089328640. Its totient is φ = 23256331862400.

The previous prime is 77742201202579. The next prime is 77742201202669. The reversal of 77742201202644 is 44620210224777.

It is a junction number, because it is equal to n+sod(n) for n = 77742201202593 and 77742201202602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65220462 + ... + 66401754.

It is an arithmetic number, because the mean of its divisors is an integer number (2087771763840).

Almost surely, 2^{77742201202644} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77742201202644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100213044664320).

77742201202644 is an abundant number, since it is smaller than the sum of its proper divisors (122683888125996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77742201202644 is a wasteful number, since it uses less digits than its factorization.

77742201202644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187701 (or 1187699 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 48.

The spelling of 77742201202644 in words is "seventy-seven trillion, seven hundred forty-two billion, two hundred one million, two hundred two thousand, six hundred forty-four".